Textbook
Weir, Hass and Giordano. Thomas’ Calculus. 12th Edition
Course Contents
13.1 Curves in Space and Their Tangents
13.2 Integrals of Vector Functions
13.3 Arc Length in Space
13.4 Curvature and Normal Vectors of a Curve
13.5 Tangential and Normal Components of Acceleration
14.1 Functions of Several Variables
14.2 Limits and Continuity in Higher Dimensions
14.3 Partial Derivatives
14.4 The Chain Rule
14.5 Directional Derivatives and Gradient Vectors
14.6 Tangent Planes and Differentials
14.7 Extreme Values and Saddle Points
14.8 Lagrange Multipliers
15.1 Double and Iterated Integrals over Rectangles
15.2 Double Integrals over General Regions
15.3 Area by Double Integration
15.4 Double Integrals in Polar Form
15.5 Triple Integrals in Rectangular Coordinates
15.6 Moment and Centers of Mass
15.7 Triple Integrals in Cylindrical and Spherical Coordinates
15.8 Substitution in Multiple Integrals
16.1 Line Integrals
16.2 Vector Fields and Line Integrals